document.write( "Question 443214: The Smith family and the Jones family are next-door neighbors and are driving to Las Vegas in separate cars for vacation. They are traveling on the same road in the same direction. The Smith family leaves at 8:00am and drives 70mph. Because of a luggage malfunction, the Jones family leaves at 10:00 am and drives 20% faster than the Smith family in an attempt to catch them.\r
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document.write( "A. How long will it take the Jones family to catch the Smith family? 12 hrs
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document.write( "B.At what time of day will this occur? 8 pm
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document.write( "C. How far from the starting point will they be when the Jones family catches the Smith Family? 840 miles
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document.write( "I cannot figure out how to write the equation I figured out the answers on a bar graph \n" );
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Algebra.Com's Answer #305745 by stanbon(75887) ![]() You can put this solution on YOUR website! They are traveling on the same road in the same direction. \n" ); document.write( "The Smith family leaves at 8:00am and drives 70mph. \n" ); document.write( "--- \n" ); document.write( "Smith DATA: \n" ); document.write( "rate = 70 mph ; time = t hrs ; distance = rt = 70t miles \n" ); document.write( "--------------------------- \n" ); document.write( "Because of a luggage malfunction, the Jones family leaves at 10:00 am and drives 20% faster than the Smith family in an attempt to catch them. \n" ); document.write( "--- \n" ); document.write( "Jones DATA: \n" ); document.write( "rate = 1.2(70) = 84 mph ; time = t-2 hrs ; distance = 84(t-2) = 84t-168 miles \n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "A. How long will it take the Jones family to catch the Smith family? \n" ); document.write( "Equation: \n" ); document.write( "84t-168 = 70t \n" ); document.write( "14t = 168 \n" ); document.write( "t = 12 hrs. \n" ); document.write( "-------------------------------\r \n" ); document.write( "\n" ); document.write( "B.At what time of day will this occur? 8 pm \n" ); document.write( "-------------------------------\r \n" ); document.write( "\n" ); document.write( "C. How far from the starting point will they be when the Jones family catches the Smith Family? 840 miles \n" ); document.write( "Distance = rate*time = 70*12 = 840 miles \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |